We develop a method which recognizes the onset and breakdown of the macroscopic description in microscopic simulations. The method is based on the invariance of the macroscopic dynamics relative to the microscopic dynamics, and it is demonstrated for a model of dilute polymeric solutions where it decides switching between Direct Brownian Dynamics simulations and integration of constitutive equations. for LaTeX users @article{IVKarlin2002-C, author = {I. V. Karlin and P. Ilg and H. C. \"Ottinger}, title = {Invariance principle to decide between micro and macro computations}, journal = {in: Recent Developments in Mathematical and Experimental Physics, Vol. Hydrodynamics and Dynamical Systems, Ed. F. Uribe}, volume = {C}, pages = {}, year = {2002} }
\bibitem{IVKarlin2002-C} I.V. Karlin, P. Ilg, H.C. \"Ottinger, Invariance principle to decide between micro and macro computations, in: Recent Developments in Mathematical and Experimental Physics, Vol. Hydrodynamics and Dynamical Systems, Ed. F. Uribe {\bf C} (2002).IVKarlin2002-C I.V. Karlin, P. Ilg, H.C. \"Ottinger Invariance principle to decide between micro and macro computations in: Recent Developments in Mathematical and Experimental Physics, Vol. Hydrodynamics and Dynamical Systems, Ed. F. Uribe,C,2002, |